Russia's Olga Sosina narrowed the margin to 2-1, but Linda Valimaki restored Finland's two-goal cushion later in the period.

Lyudmila Belyakova tallied on a Russian powerplay to make it 3-2 in the third and end the scoring.

Finland have now won three Olympic medals in women's ice hockey, all of them bronze. They last earned a medal in Vancouver in 2010 and their first came in Nagano in 1998 when women's hockey made its Olympic debut.

The gold medal game is set for Thursday, a showdown between Canada and the United States who are the only two countries to have won Olympic gold in the sport.